When a number is doubled and 5 is subtracted from the result, the answer is 37.
What is the number? * In
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Step-by-step explanation:
- There are 2 methods to solve this kind of problem.
- Method 1: Create an equation.
- You can let n be the original number. First, you double it (2n), then subtract 5 from it (2n - 5), and finally, divide it all by 3 ((2n - 5)/3). Then, you can set that final expression equal to 25.
- (2n - 5)/3 = 25 → 2n - 5 = 75 → n = 40.
- Method 2: Work backwards.
- This method works best if you have a short amount of time to solve a problem.
- Let’s start from the end of the problem. We know the final result is 25. To get to this final result, we had to divide a number by 3 to get 25. So, to find the number that was divided, we have to multiply (do the opposite) 25 by 3, which is 75. So, 75 was the second-to-last number we found.
- What did we do before dividing? Well, we subtracted 5 from some other number to get 75. So, to get to that other number, we have to add 5 (or do the opposite) to 75. This gives us 75 + 5, or 80. 80 was the third-to-last number we found.
- Finally, what we do before subtracting? We doubled our original number to get that 80. So, to find our original number, we have to divide by 2 (or do the opposite) from 80. 80 divided by 2 is 40, so our original number is 40.
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